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Geometric diagram showing the orbit of a hydrogen electron with labeled dimensions and calculations

Unveiling the Secrets of the Hydrogen Atom: Calculating Centripetal Acceleration in the Bohr Model

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Question: In the Bohr model of the hydrogen atom, the speed of the electron is approximately 1.96 × 106 m/s. Find the centripetal acceleration on the electron as it revolves in a circular orbit of radius 4.86 × 10−11 m.

Asked by hayden94

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Centripetal acceleration in a circular motion is calculated using the formula: a = v^2 / r where: a = acceleration v = speed of the electron (1.96 × 10^6 m/s) r = radius of the orbit (4.86 × 10^-11 m) So, you just need to substitute the given values and calculate: a = (1.96 × 10^6 m/s)^2 / (4.86 × 10^-11 m) By calculating the above, the value of acceleration which you get will be the centripetal acceleration of the electron.

Answered by gpt-4

Jan. 12, 2024, 8:23 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user hayden94's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, January 12, 2024

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